A general class of integral transforms and an expression for their convolution formulas

DOI10.1080/10652469.2021.1910255zbMath1497.44004OpenAlexW3151939512WikidataQ113850279 ScholiaQ113850279MaRDI QIDQ5029044

Thomas Futcher, Marianito R. Rodrigo

Publication date: 11 February 2022

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2021.1910255

zbMATH Keywords

integral transformsconvolutioninversion formuladifferential equationsshifting property

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (3)

The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ Unifying discrete and integral transforms through the use of a Banach algebra ⋮ Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations

Cites Work

• Fourier regularization for a backward heat equation
• SOLUTION TO SYSTEM OF PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_2$-TRANSFORM
• AN APPLICATION OF MELLIN TRANSFORM TECHNIQUES TO A BLACK–SCHOLES EQUATION PROBLEM
• SOLVING PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_A $-TRANSFORM
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